GL Verlinde numbers and the Grassmann TQFT

DOI10.4171/PM/1864zbMath1211.14017arXiv1002.2652OpenAlexW2963064288MaRDI QIDQ973680

Dragos Oprea, Alina Marian

Publication date: 2 June 2010

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2652

zbMATH Keywords

topological quantum field theorymoduli of vector bundlesquot schemesVerlinde numbers

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Theta functions and abelian varieties (14K25) Vector bundles on curves and their moduli (14H60) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (3)

Verlinde/Grassmannian correspondence and rank 2 \(\delta\)-wall-crossing ⋮ Counting maximal Lagrangian subbundles over an algebraic curve ⋮ A weighted topological quantum field theory for quot schemes on curves

Cites Work

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• Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
• Virtual intersections on the Quot scheme and Vafa-Intriligator formulas
• The level-rank duality for non-abelian theta functions
• Counts of maps to Grassmannians and intersections on the moduli space of bundles
• Virtual fundamental classes via dg-manifolds
• On quantum cohomology rings of Fano manifolds and a formula of Vafa and Intriligator
• Moduli of vector bundles on curves with parabolic structures
• Conformal blocks and generalized theta functions
• The intrinsic normal cone
• Moduli spaces of parabolic fibres and conformal blocks
• FUSION RESIDUES
• TOWARDS A SCHUBERT CALCULUS FOR MAPS FROM A RIEMANN SURFACE TO A GRASSMANNIAN
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
• Conformal blocks, fusion rules and the Verlinde formula
• Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians
• Vector bundles on curves and generalized theta functions: recent results and open problems

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